According to Smarandache "The goal is to enlarge the artistic sphere through non-artistic elements. ... 'The flying of a bird', for example, represents a "natural poem", that is not necessary to write down, being more palpable and perceptible in any language than some signs laid on the paper, which, in fact, represent an "artificial poem"".

The Smarandache constant is the positive solution of . Its value is (sequence A038458 in OEIS). Smarandache conjectured that x is in fact the smallest solution of as n varies, where is the nth prime, and interpreted this as a generalization of Wikipedia:Andrica's conjecture.
[8][9][10][11][12] It should not be confused with a list of sixteen Smarandache constants denoted s1 to s16, which involve the Wikipedia:Smarandache functionS(n), defined to be the smallest integer such that is divisible by .

A Generalized Smarandache Palindrome is a concatenated number of the form: for , or , for , where all are positive integers of various number of digits in a given base .[13]

..."theories" [which] continue to be rejected by the physics community as ill-informed speculation, [while] their proponents continue to promulgate them in rather obscure journals.[16]

Editorship

Smarandache is one of five "Editors-in-chief" of the International Journal of Applied Mathematics & Statistics, which is a printed international mathematical journal started in December 2003.[17]

He is also Associate Editor of Wikipedia:Progress in Physics, an alternative printed and online journal in experimental and theoretical physics which was started in 2005 with the Mathematics Department at UNM-Gallup as its address.